Question

are the two triangles similar?
yes
no

Explanation:

Step1: Find ∠E in △DRE

The sum of angles in a triangle is \(180^\circ\). For △DRE, we know ∠D = \(28^\circ\) and ∠R = \(110^\circ\). So, ∠E = \(180^\circ - 28^\circ - 110^\circ\) = \(42^\circ\).

Step2: Compare angles of two triangles

In △DRE, angles are \(28^\circ\), \(110^\circ\), \(42^\circ\). In △NTA, angles are \(28^\circ\), \(42^\circ\), and the third angle (∠T) is \(180^\circ - 28^\circ - 42^\circ = 110^\circ\). So, corresponding angles are equal. By AA (Angle - Angle) similarity criterion, the triangles are similar.

Answer:

Yes (the option "Yes" should be selected)